Yang-Baxter Deformations of the $AdS_5\times T^{1,1}$ Superstring and their Backgrounds

TL;DR

This paper explores three-parameter Yang-Baxter deformations of the $AdS_5\times T^{1,1}$ superstring, resulting in new backgrounds dual to specific gauge theories with dipole and Schrödinger symmetries.

Contribution

It introduces novel backgrounds from Yang-Baxter deformations of the superstring on $AdS_5\times T^{1,1}$, expanding the landscape of gauge/gravity dualities.

Findings

Derived two new supergravity backgrounds from Yang-Baxter deformations.

Identified dual gauge theories with dipole and Schrödinger symmetries.

Enhanced understanding of integrable deformations in string theory.

Abstract

We consider three-parameter Yang-Baxter deformations of the $AdS_5\times T^{1,1}$ superstring for abelian $r$-matrices which are solutions of the classical Yang-Baxter equation. We find two new backgrounds which are dual to the dipole deformed Klebanov-Witten gauge theory and to the nonrelativistic Klebanov-Witten gauge theory with Schr\"odinger symmetry